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Volumn 284, Issue , 2015, Pages 1-21

Π4U: A high performance computing framework for Bayesian uncertainty quantification of complex models

Author keywords

Bayesian inference; Distributed computing; Parallel computing; Reliability; Uncertainty quantification

Indexed keywords

APPROXIMATION ALGORITHMS; BAYESIAN NETWORKS; CLUSTERING ALGORITHMS; COMPUTER ARCHITECTURE; COMPUTER PROGRAMMING; COVARIANCE MATRIX; DISTRIBUTED COMPUTER SYSTEMS; EVOLUTIONARY ALGORITHMS; MARKOV PROCESSES; MOLECULAR DYNAMICS; OPTIMIZATION; STOCHASTIC SYSTEMS; STRUCTURAL DYNAMICS; UNCERTAINTY ANALYSIS;

EID: 84920129689     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2014.12.006     Document Type: Article
Times cited : (102)

References (68)
  • 1
    • 33746536659 scopus 로고    scopus 로고
    • Uncertainty quantification in simulation science
    • Karniadakis G., Glimm J. Uncertainty quantification in simulation science. J. Comput. Phys. 2006, 217(1):1-4.
    • (2006) J. Comput. Phys. , vol.217 , Issue.1 , pp. 1-4
    • Karniadakis, G.1    Glimm, J.2
  • 2
    • 63449137570 scopus 로고    scopus 로고
    • Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics
    • Najm H.N. Uncertainty quantification and polynomial chaos techniques in computational fluid dynamics. Annu. Rev. Fluid Mech. 2008, 41(1):35-52.
    • (2008) Annu. Rev. Fluid Mech. , vol.41 , Issue.1 , pp. 35-52
    • Najm, H.N.1
  • 4
    • 1342266172 scopus 로고    scopus 로고
    • Model selection using response measurements: Bayesian probabilistic approach
    • Beck J.L., Yuen K.V. Model selection using response measurements: Bayesian probabilistic approach. J. Eng. Mech. 2004, 130(2):192-203.
    • (2004) J. Eng. Mech. , vol.130 , Issue.2 , pp. 192-203
    • Beck, J.L.1    Yuen, K.V.2
  • 5
    • 84867533253 scopus 로고    scopus 로고
    • Bayesian uncertainty quantification and propagation in molecular dynamics simulations: a high performance computing framework
    • 19 pp
    • Angelikopoulos P., Papadimitriou C., Koumoutsakos P. Bayesian uncertainty quantification and propagation in molecular dynamics simulations: a high performance computing framework. J. Chem. Phys. 2012, 137(14):144103. (19 pp.).
    • (2012) J. Chem. Phys. , vol.137 , Issue.14 , pp. 144103
    • Angelikopoulos, P.1    Papadimitriou, C.2    Koumoutsakos, P.3
  • 6
    • 0002995576 scopus 로고    scopus 로고
    • Asymptotic expansions for reliability and moments of uncertain systems
    • Papadimitriou C., Beck J.L., Katafygiotis L.S. Asymptotic expansions for reliability and moments of uncertain systems. J. Eng. Mech. 1997, 123(12):1219-1229.
    • (1997) J. Eng. Mech. , vol.123 , Issue.12 , pp. 1219-1229
    • Papadimitriou, C.1    Beck, J.L.2    Katafygiotis, L.S.3
  • 7
    • 85189852425 scopus 로고
    • Asymptotic approximation of certain integrals
    • Stenger F. Asymptotic approximation of certain integrals. Not. Am. Math. Soc. 1969, 16(1):95.
    • (1969) Not. Am. Math. Soc. , vol.16 , Issue.1 , pp. 95
    • Stenger, F.1
  • 9
    • 34347268472 scopus 로고    scopus 로고
    • Transitional Markov chain Monte Carlo method for Bayesian model updating, model class selection, and model averaging
    • Ching J.Y., Chen Y.C. Transitional Markov chain Monte Carlo method for Bayesian model updating, model class selection, and model averaging. J. Eng. Mech. 2007, 133(7):816-832.
    • (2007) J. Eng. Mech. , vol.133 , Issue.7 , pp. 816-832
    • Ching, J.Y.1    Chen, Y.C.2
  • 10
    • 84893010244 scopus 로고    scopus 로고
    • Earthquake early warning application to buildings
    • Cheng M.H., Wu S., Heaton T.H., Beck J.L. Earthquake early warning application to buildings. Eng. Struct. 2014, 60:155-164.
    • (2014) Eng. Struct. , vol.60 , pp. 155-164
    • Cheng, M.H.1    Wu, S.2    Heaton, T.H.3    Beck, J.L.4
  • 12
    • 85189850989 scopus 로고    scopus 로고
    • The PSUADE uncertainty quantification project, [online].
    • Lawrence Livermore National Laboratory. The PSUADE uncertainty quantification project, [online]. http://computation.llnl.gov/casc/uncertainty_quantification/.
  • 14
    • 84882685318 scopus 로고    scopus 로고
    • The Parallel C++ Statistical Library 'QUESO': quantification of uncertainty for estimation, simulation and optimization
    • Springer, Berlin, Heidelberg, Euro-Par 2011: Parallel Processing Workshops
    • Prudencio E.E., Schulz K.W. The Parallel C++ Statistical Library 'QUESO': quantification of uncertainty for estimation, simulation and optimization. Lect. Notes Comput. Sci. 2012, vol. 7155:398-407. Springer, Berlin, Heidelberg.
    • (2012) Lect. Notes Comput. Sci. , vol.7155 , pp. 398-407
    • Prudencio, E.E.1    Schulz, K.W.2
  • 15
    • 84864263549 scopus 로고    scopus 로고
    • Parallel adaptive multilevel sampling algorithms for the Bayesian analysis of mathematical models
    • Prudencio E., Cheung S.H. Parallel adaptive multilevel sampling algorithms for the Bayesian analysis of mathematical models. Int. J. Uncertain. Quantificat. 2012, 2(3):215-237.
    • (2012) Int. J. Uncertain. Quantificat. , vol.2 , Issue.3 , pp. 215-237
    • Prudencio, E.1    Cheung, S.H.2
  • 18
    • 75649118920 scopus 로고    scopus 로고
    • Non-linear model reduction for uncertainty quantification in large-scale inverse problems
    • Galbally D., Fidkowski K., Willcox K., Ghattas O. Non-linear model reduction for uncertainty quantification in large-scale inverse problems. Int. J. Numer. Methods Eng. 2010, 81(12):1581-1608.
    • (2010) Int. J. Numer. Methods Eng. , vol.81 , Issue.12 , pp. 1581-1608
    • Galbally, D.1    Fidkowski, K.2    Willcox, K.3    Ghattas, O.4
  • 19
    • 0042879997 scopus 로고    scopus 로고
    • Reducing the time complexity of the derandomized evolution strategy with covariance matrix adaptation (CMA-ES)
    • Hansen N., Muller S.D., Koumoutsakos P. Reducing the time complexity of the derandomized evolution strategy with covariance matrix adaptation (CMA-ES). Evol. Comput. 2003, 11(1):1-18.
    • (2003) Evol. Comput. , vol.11 , Issue.1 , pp. 1-18
    • Hansen, N.1    Muller, S.D.2    Koumoutsakos, P.3
  • 20
    • 0035472117 scopus 로고    scopus 로고
    • Estimation of small failure probabilities in high dimensions by subset simulation
    • Au S., Beck J. Estimation of small failure probabilities in high dimensions by subset simulation. Probab. Eng. Mech. 2001, 16:263-277.
    • (2001) Probab. Eng. Mech. , vol.16 , pp. 263-277
    • Au, S.1    Beck, J.2
  • 21
    • 0000235984 scopus 로고    scopus 로고
    • Updating models and their uncertainties. I: Bayesian statistical framework
    • Beck J.L., Katafygiotis L.S. Updating models and their uncertainties. I: Bayesian statistical framework. J. Eng. Mech. 1998, 124(4):455-461.
    • (1998) J. Eng. Mech. , vol.124 , Issue.4 , pp. 455-461
    • Beck, J.L.1    Katafygiotis, L.S.2
  • 22
    • 0000235985 scopus 로고    scopus 로고
    • Updating models and their uncertainties. II: Model identifiability
    • Katafygiotis L.S., Beck J.L. Updating models and their uncertainties. II: Model identifiability. J. Eng. Mech. 1998, 124(4):463-467.
    • (1998) J. Eng. Mech. , vol.124 , Issue.4 , pp. 463-467
    • Katafygiotis, L.S.1    Beck, J.L.2
  • 23
    • 78349269952 scopus 로고    scopus 로고
    • Bayesian system identification based on probability logic
    • Beck J.L. Bayesian system identification based on probability logic. Struct. Control Health Monit. 2010, 17(7):825-847.
    • (2010) Struct. Control Health Monit. , vol.17 , Issue.7 , pp. 825-847
    • Beck, J.L.1
  • 25
    • 0033701961 scopus 로고    scopus 로고
    • Bayesian probabilistic approach to structural health monitoring
    • Vanik M.W., Beck J.L., Au S.K. Bayesian probabilistic approach to structural health monitoring. J. Eng. Mech. 2000, 126(7):738-745.
    • (2000) J. Eng. Mech. , vol.126 , Issue.7 , pp. 738-745
    • Vanik, M.W.1    Beck, J.L.2    Au, S.K.3
  • 26
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • Hastings W.K. Monte Carlo sampling methods using Markov chains and their applications. Biometrika 1970, 57(1):97-109.
    • (1970) Biometrika , vol.57 , Issue.1 , pp. 97-109
    • Hastings, W.K.1
  • 28
    • 77956889087 scopus 로고
    • Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
    • Green P.J. Reversible jump Markov chain Monte Carlo computation and Bayesian model determination. Biometrika 1995, 82(4):711-732.
    • (1995) Biometrika , vol.82 , Issue.4 , pp. 711-732
    • Green, P.J.1
  • 29
    • 57849128804 scopus 로고    scopus 로고
    • Differential evolution Markov chain with snooker updater and fewer chains
    • Ter Braak C.J., Vrugt J.A. Differential evolution Markov chain with snooker updater and fewer chains. Stat. Comput. 2008, 18(4):435-446.
    • (2008) Stat. Comput. , vol.18 , Issue.4 , pp. 435-446
    • Ter, B.C.J.1    Vrugt, J.A.2
  • 30
    • 0033716075 scopus 로고    scopus 로고
    • Treatment of unidentifiability in structural model updating
    • Katafygiotis L., Lam H.-F., Papadimitriou C. Treatment of unidentifiability in structural model updating. Adv. Struct. Eng. 2000, 3(1):19-39.
    • (2000) Adv. Struct. Eng. , vol.3 , Issue.1 , pp. 19-39
    • Katafygiotis, L.1    Lam, H.-F.2    Papadimitriou, C.3
  • 31
    • 0041974049 scopus 로고
    • Marginal likelihood from the Gibbs output
    • Chib S. Marginal likelihood from the Gibbs output. J. Am. Stat. Assoc. 1995, 90(432):1313-1321.
    • (1995) J. Am. Stat. Assoc. , vol.90 , Issue.432 , pp. 1313-1321
    • Chib, S.1
  • 34
    • 84883650045 scopus 로고    scopus 로고
    • A Bayesian methodology for structural integrity and reliability assessment
    • Papadimitriou C., Katafygiotis L. A Bayesian methodology for structural integrity and reliability assessment. Int. J. Adv. Manuf. Syst. 2001, 4(1):93-100.
    • (2001) Int. J. Adv. Manuf. Syst. , vol.4 , Issue.1 , pp. 93-100
    • Papadimitriou, C.1    Katafygiotis, L.2
  • 36
    • 84886370017 scopus 로고    scopus 로고
    • Prior and posterior robust stochastic predictions for dynamical systems using probability logic
    • Beck J.L., Taflanidis A.A. Prior and posterior robust stochastic predictions for dynamical systems using probability logic. Int. J. Uncertain. Quantificat. 2013, 3(4):271-288.
    • (2013) Int. J. Uncertain. Quantificat. , vol.3 , Issue.4 , pp. 271-288
    • Beck, J.L.1    Taflanidis, A.A.2
  • 39
    • 85085720337 scopus 로고    scopus 로고
    • Optimal sensor location for model parameter estimation in CFD
    • American Institute of Aeronautics and Astronautics
    • Papadimitriou D.I., Papadimitriou C. Optimal sensor location for model parameter estimation in CFD. 21st AIAA Computational Fluid Dynamics Conference 2013, 1-10. American Institute of Aeronautics and Astronautics.
    • (2013) 21st AIAA Computational Fluid Dynamics Conference , pp. 1-10
    • Papadimitriou, D.I.1    Papadimitriou, C.2
  • 40
    • 79952307064 scopus 로고    scopus 로고
    • Fast algorithms for Bayesian uncertainty quantification in large-scale linear inverse problems based on low-rank partial Hessian approximations
    • Flath H.P., Wilcox L.C., Akcelik V., Hill J., Waanders B.V., Ghattas O. Fast algorithms for Bayesian uncertainty quantification in large-scale linear inverse problems based on low-rank partial Hessian approximations. SIAM J. Sci. Comput. 2011, 33(1):407-432.
    • (2011) SIAM J. Sci. Comput. , vol.33 , Issue.1 , pp. 407-432
    • Flath, H.P.1    Wilcox, L.C.2    Akcelik, V.3    Hill, J.4    Waanders, B.V.5    Ghattas, O.6
  • 41
    • 0342834367 scopus 로고    scopus 로고
    • Evolutionary strategies of optimization
    • Asselmeyer T., Ebeling W., Rose H. Evolutionary strategies of optimization. Phys. Rev. E 1997, 56(1):1171-1180.
    • (1997) Phys. Rev. E , vol.56 , Issue.1 , pp. 1171-1180
    • Asselmeyer, T.1    Ebeling, W.2    Rose, H.3
  • 42
    • 35948930623 scopus 로고    scopus 로고
    • Meta-optimization of evolutionary strategies for empirical potential development: application to aqueous silicate systems
    • Barnes B.C., Gelb L.D. Meta-optimization of evolutionary strategies for empirical potential development: application to aqueous silicate systems. J. Chem. Theory Comput. 2007, 3(5):1749-1764.
    • (2007) J. Chem. Theory Comput. , vol.3 , Issue.5 , pp. 1749-1764
    • Barnes, B.C.1    Gelb, L.D.2
  • 43
    • 84867867481 scopus 로고    scopus 로고
    • Binary particle swarm optimization with multiple evolutionary strategies
    • Zhao J., Han C.Z., Wei B. Binary particle swarm optimization with multiple evolutionary strategies. Sci. China, Inf. Sci. 2012, 55(11):2485-2494.
    • (2012) Sci. China, Inf. Sci. , vol.55 , Issue.11 , pp. 2485-2494
    • Zhao, J.1    Han, C.Z.2    Wei, B.3
  • 45
    • 0036539697 scopus 로고    scopus 로고
    • Bayesian updating of structural models and reliability using Markov chain Monte Carlo simulation
    • Beck J.L., Au S.K. Bayesian updating of structural models and reliability using Markov chain Monte Carlo simulation. J. Eng. Mech. 2002, 128(4):380-391.
    • (2002) J. Eng. Mech. , vol.128 , Issue.4 , pp. 380-391
    • Beck, J.L.1    Au, S.K.2
  • 48
    • 1942425662 scopus 로고    scopus 로고
    • A reoptimization of the five-site water potential (TIP5P) for use with Ewald sums
    • Rick S. A reoptimization of the five-site water potential (TIP5P) for use with Ewald sums. J. Chem. Phys. 2004, 120:6085-6093.
    • (2004) J. Chem. Phys. , vol.120 , pp. 6085-6093
    • Rick, S.1
  • 49
    • 31544449433 scopus 로고    scopus 로고
    • Sensitivity analysis of thermodynamic properties of liquid water: a general approach to improve empirical potentials
    • Iordanov T.D., Schenter G.K., Garrett B.C. Sensitivity analysis of thermodynamic properties of liquid water: a general approach to improve empirical potentials. J. Phys. Chem. A 2005, 110(2):762-771.
    • (2005) J. Phys. Chem. A , vol.110 , Issue.2 , pp. 762-771
    • Iordanov, T.D.1    Schenter, G.K.2    Garrett, B.C.3
  • 51
    • 84890120789 scopus 로고    scopus 로고
    • Calibration of forcefields for molecular simulation: sequential design of computer experiments for building cost-efficient kriging metamodels
    • Cailliez F., Bourasseau A., Pernot P. Calibration of forcefields for molecular simulation: sequential design of computer experiments for building cost-efficient kriging metamodels. J. Comput. Chem. 2014, 35(2):130-149.
    • (2014) J. Comput. Chem. , vol.35 , Issue.2 , pp. 130-149
    • Cailliez, F.1    Bourasseau, A.2    Pernot, P.3
  • 53
    • 84891347659 scopus 로고    scopus 로고
    • Data driven, predictive molecular dynamics for nanoscale flow simulations under uncertainty
    • Angelikopoulos P., Papadimitriou C., Koumoutsakos P. Data driven, predictive molecular dynamics for nanoscale flow simulations under uncertainty. J. Phys. Chem. B 2013, 117(47):14808-14816.
    • (2013) J. Phys. Chem. B , vol.117 , Issue.47 , pp. 14808-14816
    • Angelikopoulos, P.1    Papadimitriou, C.2    Koumoutsakos, P.3
  • 54
    • 84888643261 scopus 로고    scopus 로고
    • The radial distribution functions of water as derived from radiation total scattering experiments: is there anything we can say for sure?
    • Soper A.K. The radial distribution functions of water as derived from radiation total scattering experiments: is there anything we can say for sure?. ISRN Phys. Chem. 2013, 279463.
    • (2013) ISRN Phys. Chem. , pp. 279463
    • Soper, A.K.1
  • 56
    • 84878600393 scopus 로고    scopus 로고
    • On prediction error correlation in Bayesian model updating
    • Simoen E., Papadimitriou C., Lombaert G. On prediction error correlation in Bayesian model updating. J. Sound Vib. 2013, 332(18):4136-4152.
    • (2013) J. Sound Vib. , vol.332 , Issue.18 , pp. 4136-4152
    • Simoen, E.1    Papadimitriou, C.2    Lombaert, G.3
  • 57
    • 0000020246 scopus 로고    scopus 로고
    • A five-site model for liquid water and the reproduction of the density anomaly by rigid, nonpolarizable potential functions
    • Mahoney M., Jorgensen W. A five-site model for liquid water and the reproduction of the density anomaly by rigid, nonpolarizable potential functions. J. Chem. Phys. 2000, 112:8910-8922.
    • (2000) J. Chem. Phys. , vol.112 , pp. 8910-8922
    • Mahoney, M.1    Jorgensen, W.2
  • 58
    • 84885187200 scopus 로고    scopus 로고
    • Component mode synthesis techniques for finite element model updating
    • Papadimitriou C., Papadioti D.-C. Component mode synthesis techniques for finite element model updating. Comput. Struct. 2013, 126:15-28.
    • (2013) Comput. Struct. , vol.126 , pp. 15-28
    • Papadimitriou, C.1    Papadioti, D.-C.2
  • 59
    • 85007654799 scopus 로고
    • Coupling of substructures for dynamic analyses
    • Craig R.R., Bampton M.C.C. Coupling of substructures for dynamic analyses. AIAA J. 1968, 6(7):1313-1323.
    • (1968) AIAA J. , vol.6 , Issue.7 , pp. 1313-1323
    • Craig, R.R.1    Bampton, M.C.C.2
  • 60
    • 0026918582 scopus 로고
    • Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe
    • Tsuji Y., Tanaka T., Ishida T. Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe. Powder Technol. 1992, 71(3):239-250.
    • (1992) Powder Technol. , vol.71 , Issue.3 , pp. 239-250
    • Tsuji, Y.1    Tanaka, T.2    Ishida, T.3
  • 62
    • 38949085557 scopus 로고    scopus 로고
    • A study on tangential force laws applicable to the discrete element method (DEM) for materials with viscoelastic or plastic behavior
    • Kruggel-Emden H., Wirtz S., Scherer V. A study on tangential force laws applicable to the discrete element method (DEM) for materials with viscoelastic or plastic behavior. Chem. Eng. Sci. 2008, 63(6):1523-1541.
    • (2008) Chem. Eng. Sci. , vol.63 , Issue.6 , pp. 1523-1541
    • Kruggel-Emden, H.1    Wirtz, S.2    Scherer, V.3
  • 63
    • 0042824613 scopus 로고    scopus 로고
    • Lasting contacts in molecular dynamics simulations
    • Kluwer Academic Publishers
    • Brendel L., Dippel S. Lasting contacts in molecular dynamics simulations. Physics of Dry Granular Media 1998, 3-31. Kluwer Academic Publishers.
    • (1998) Physics of Dry Granular Media , pp. 3-31
    • Brendel, L.1    Dippel, S.2
  • 64
    • 0035258420 scopus 로고    scopus 로고
    • Granular flow from a silo: discrete-particle simulations in three dimensions
    • Hirshfeld D., Rapaport D. Granular flow from a silo: discrete-particle simulations in three dimensions. Eur. Phys. J. E, Soft Matter Biol. Phys. 2001, 4(2):193-199.
    • (2001) Eur. Phys. J. E, Soft Matter Biol. Phys. , vol.4 , Issue.2 , pp. 193-199
    • Hirshfeld, D.1    Rapaport, D.2
  • 66
    • 53349099093 scopus 로고    scopus 로고
    • Coefficient of tangential restitution for viscoelastic spheres
    • Schwager T., Becker V., Pöschel T. Coefficient of tangential restitution for viscoelastic spheres. Eur. Phys. J. E 2008, 27(1):107-114.
    • (2008) Eur. Phys. J. E , vol.27 , Issue.1 , pp. 107-114
    • Schwager, T.1    Becker, V.2    Pöschel, T.3
  • 67
    • 30144437818 scopus 로고    scopus 로고
    • Experimental study of oblique impacts with initial spin
    • Dong H., Moys M.H. Experimental study of oblique impacts with initial spin. Powder Technol. 2006, 161(1):22-31.
    • (2006) Powder Technol. , vol.161 , Issue.1 , pp. 22-31
    • Dong, H.1    Moys, M.H.2
  • 68
    • 84903643055 scopus 로고    scopus 로고
    • Approximate Bayesian computation by subset simulation
    • Chiachio M., Beck J., Chiachio J., Rus G. Approximate Bayesian computation by subset simulation. SIAM J. Sci. Comput. 2014, 36(3):A1339-A1358.
    • (2014) SIAM J. Sci. Comput. , vol.36 , Issue.3 , pp. A1339-A1358
    • Chiachio, M.1    Beck, J.2    Chiachio, J.3    Rus, G.4


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